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Finding the Fourth Proportional to 50,896, 76,345.44 and 13,960

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Solution

The fourth proportional to 50,896, 76,345.44 and 13,960 is: 20,940.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,896 : 76,345.44 = 13,960 : x
  2. Step 2: Convert to fraction form
    50,896/76,345.44 = 13,960/x
  3. Step 3: Cross multiply
    50,896x = 76,345.44 × 13,960
  4. Step 4: Simplify right side
    50,896x = 1,065,782,342.40
  5. Step 5: Solve for x
    x = 1,065,782,342.40/50,896
  6. Step 6: Final answer
    x = 20,940.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.